2. Let X = R² – (0,0) and ~ be defined over X by setting x~y + y = tx for some non-zero t € R. Given a equivalence class [x] E S'/ ~, choose its representative x to be the largest element of the equivalence class with respect to the dictionary order. Sketch a graph of all the representative points of all equivalence classes of S'/ ~~.
2. Let X = R² – (0,0) and ~ be defined over X by setting x~y + y = tx for some non-zero t € R. Given a equivalence class [x] E S'/ ~, choose its representative x to be the largest element of the equivalence class with respect to the dictionary order. Sketch a graph of all the representative points of all equivalence classes of S'/ ~~.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
2c
![2. Let X = R² – (0,0) and ~ be defined over X by setting
x~y + y = tx
for some non-zero t € R.
Given a equivalence class [x] E S' / ~, choose its representative r to be the largest
element of the equivalence class with respect to the dictionary order. Sketch a graph of all the
representative points of all equivalence classes of S'/ ~.
End of Exam](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F63979fcc-2002-4d04-ab31-76bbd0f10e5b%2F422248fb-7c89-46de-8d97-d6035aa4a854%2Foqbw2i_processed.png&w=3840&q=75)
Transcribed Image Text:2. Let X = R² – (0,0) and ~ be defined over X by setting
x~y + y = tx
for some non-zero t € R.
Given a equivalence class [x] E S' / ~, choose its representative r to be the largest
element of the equivalence class with respect to the dictionary order. Sketch a graph of all the
representative points of all equivalence classes of S'/ ~.
End of Exam
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